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Finding the Fourth Proportional to 3,881.92, 5,822.26 and 1,284.52

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Solution

The fourth proportional to 3,881.92, 5,822.26 and 1,284.52 is: 1,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.92 : 5,822.26 = 1,284.52 : x
  2. Step 2: Convert to fraction form
    3,881.92/5,822.26 = 1,284.52/x
  3. Step 3: Cross multiply
    3,881.92x = 5,822.26 × 1,284.52
  4. Step 4: Simplify right side
    3,881.92x = 7,478,809.42
  5. Step 5: Solve for x
    x = 7,478,809.42/3,881.92
  6. Step 6: Final answer
    x = 1,926.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.